| 1. Round | 13/09/1978 | Athletic Club | - | AFC Ajax | 2:0 | ||||
| 1. Round | 27/09/1978 | AFC Ajax | - | Athletic Club | 3:0 |  |
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| 2. Round | 18/10/1978 | AFC Ajax | - | Lausanne Sports | 1:0 | |
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| 2. Round | 31/10/1978 | Lausanne Sports | - | AFC Ajax | 0:4 | ||||
| Round of 16 | 21/11/1978 | Budapest Honved SE | - | AFC Ajax | 4:1 | ||||
| Round of 16 | 05/12/1978 | AFC Ajax | - | Budapest Honved SE | 2:0 |
Denmark